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Finding the Fourth Proportional to 475,051.97, 712,602.45 and 120,069.06

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Solution

The fourth proportional to 475,051.97, 712,602.45 and 120,069.06 is: 180,109.78

Step by Step Solution

  1. Step 1: Write the proportion equation
    475,051.97 : 712,602.45 = 120,069.06 : x
  2. Step 2: Convert to fraction form
    475,051.97/712,602.45 = 120,069.06/x
  3. Step 3: Cross multiply
    475,051.97x = 712,602.45 × 120,069.06
  4. Step 4: Simplify right side
    475,051.97x = 85,561,506,325.20
  5. Step 5: Solve for x
    x = 85,561,506,325.20/475,051.97
  6. Step 6: Final answer
    x = 180,109.78

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Why These Related Problems?

These problems maintain the same ratio (1.50) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.